Three-dimensional polarization algebra for all polarization sensitive optical systems.

Area of Science:

• Optics and Photonics
• Electromagnetism

Background:

• Polarization properties are crucial for optical systems.
• Existing methods struggle with partially or unpolarized incident light.
• High numerical aperture (NA) systems present unique polarization challenges.

Purpose of the Study:

• To develop a novel 3D polarization algebra.
• To accurately calculate polarization properties for all polarization-sensitive optical systems.
• To validate the algebra using a high NA microscope objective.

Main Methods:

• Development of a 3D polarization algebra using a (9x1) coherency vector.
• Analysis of polarization properties for a high NA (1.25) oil-immersed microscope objective.
• Comparison of theoretical calculations with simulations using VirtualLAB Fusion software.

Main Results:

• The proposed 3D polarization algebra successfully quantifies polarization properties.
• Theoretical calculations perfectly matched polarization simulations for the high NA objective.
• The algebra is effective even for partially or unpolarized incident optical fields.

Conclusions:

• The new 3D polarization algebra is a valid and powerful tool.
• It accurately models polarization in diverse optical systems, including high NA objectives.
• This framework enhances the analysis of polarization-sensitive optical systems.